Seiberg-Witten map and Galilean symmetry violation in a non-commutative planar system
arXiv:hep-th/0312292 · doi:10.1103/PhysRevD.70.107707
Abstract
An effective U(1) gauge invariant theory is constructed for a non-commutative Schrodinger field coupled to a background U(1)_{\star} gauge field in 2+1-dimensions using first order Seiberg-Witten map. We show that this effective theory can be cast in the form of usual Schrodinger action with interaction terms of noncommutative origin provided the gauge field is of ``background'' type with constant magnetic field. The Galilean symmetry is investigated and a violation is found in the boost sector. We also consider the problem of Hall conductivity in this framework.
REVTeX, 4 pages, Title changed, Paper shortened, Appendix removed, A new section on Galilean symmetry added
References in corpus (5)
Cited by in corpus (56)
- Voros product, Noncommutative Schwarzschild Black Hole and Corrected Area Law
- Dual families of non-commutative quantum systems
- A note on the noncommutative correction to gravity
- Magnetic fields in noncommutative quantum mechanics
- Time-Space Noncommutativity in Gravitational Quantum Well scenario
- Noncommutative quantum mechanics of a harmonic oscillator under linearized gravitational waves
- Noncommutative Quantum Hall Effect and Aharonov-Bohm Effect
- Harmonic oscillator in a background magnetic field in noncommutative quantum phase-space
- COW test of the weak equivalence principle: A low-energy window to look into the noncommutative structure of space-time?
- Spin Hall effect on a noncommutative space
- On the Landau system in noncommutative phase-space
- Time-dependent Aharonov-Bohm effect on the noncommutative space
- Schwinger Model In Noncommutating Space-Time
- Electric Chern-Simons term, enlarged exotic Galilei symmetry and noncommutative plane
- Quasinormal Modes in Noncommutative Schwarzschild black holes
- U(1) gauge invariant noncommutative Schrödinger theory and gravity
- Response of simple quantum systems to different polarizations of gravitational waves in noncommutative phase-space
- Resonant-bar detectors of gravitational wave as possible probe of the noncommutative structure of space
- Galilean symmetry in noncommutative Gravitational Quantum Well
- On the question of deconfinement in noncommutative Schwinger Model
- Noncommutativity in (2+1)-dimensions and the Lorentz group
- Footprint of spatial noncommutativity in resonant detectors of gravitational wave
- Lowest Landau level theory of the bosonic Jain states
- The Noncommutative Doplicher-Fredenhagen-Roberts-Amorim Space
- Thermodynamics of a charged particle in a noncommutative plane in a background magnetic field
- Exact solutions of a damped harmonic oscillator in a time dependent noncommutative space
- Voros product, noncommutative inspired Reissner-Nordstr{ö}m black hole and corrected area law
- Equivalence principle in context of large uniform acceleration - a quantum mechanical perspective
- Signatures of noncommutativity in bar detectors of gravitational waves
- On the algebraic structure of rotationally invariant two-dimensional Hamiltonians on the noncommutative phase space
- Exact solution of damped harmonic oscillator with a magnetic field in a time dependent noncommutative space
- Pauli equation on noncommutative plane and the Seiberg-Witten map
- Quantum and pseudoclassical descriptions of nonrelativistic spinning particles in noncommutative space
- Quantum and pseudoclassical descriptions of nonrelativistic spinning particles in noncommutative space
- Noncommutative quantum mechanics of simple matter systems interacting with circularly polarized gravitational waves
- Bound state energies and phase shifts of a non-commutative well
- Path integral action of a particle in a magnetic field in the noncommutative plane and the Aharonov-Bohm effect
- Path integral action and Chern-Simons quantum mechanics in noncommutative plane
- Trace of phase-space noncommutativity in the response of a free particle to linearized gravitational waves
- Voros product and the Pauli principle at low energies
- Noncommutative Landau problem in graphene: a gauge-invariant analysis with the Seiberg-Witten map
- Quantum dot with spin-orbit interaction in noncommutative phase space and analog Landau levels
- Noncommutativity and Duality through the Symplectic Embedding Formalism
- On the noncommutative eikonal
- Quantum harmonic oscillator in a time dependent noncommutative background
- Lie algebraic noncommuting structures from reparametrisation symmetry
- Path-integral action of a particle in the noncommutative phase-space
- Galilei Group with multiple central extension, vorticity and entropy generation: "Exotic" fluid in 3+1-dimensions
- Quantum mechanics of a charged particle in a background magnetic field interacting with linearized gravitational waves
- Remarks on the representation theory of the Moyal plane
- Bianchi type I cyclic cosmology from Lie-algebraically deformed phase space
- Interaction of a circularly polarised gravitational wave with a charged particle in a static magnetic background
- Inverse square problem and so(2,1) symmetry in noncommutative space
- Statistical interparticle potential on noncommutative space
- Exotic Newton-Hooke group, noncommutative plane and superconformal symmetry
- Accessing the non-equal-time commutators of a trapped ion